algebra 1 placement test · 2017-06-21 · walnut hill school for the arts math algebra 1 placement...

Walnut Hill School for the Arts Math Algebra 1 Placement Test

1. Which of the following is an irrational number? ���

A. -5 B.   23 ���C. 4 ��� D. 5

2. Which group of numbers is ordered from least to greatest?

A. 45, − 0.9, − 3 B. −3, − 0.9, 4

5 C. −0.9, 4

5, − 3 D. 4

5, − 3, − 0.9

3. Evaluate (6 − 4)÷ 2 + 8 ÷ (4 − 2)+1

A. 112

B. 8 C. 6 D. 3

4. Which ordered pair is not a solution of y = 2x +1?

A. (3, 7) B. (0, 1) C. (-1, 1) D. (-3, -5)

5. If x = −3 and y = −5, then what does 3x − 2y equal?

A. -19 B. -1 C. 1 D. 19

6. What is the solution of −6x +15 = −3?

A. -3 B. -2 C. 3 D. 6

7. What is the solution of 35= x15

?

A. 1 B. 6 C. 9 D. 25

8. What is the solution to the inequality 48 < −6h ?

A. h < −8 B. h > −8 C. h ≥ −8 D. h ≤ −8

9. What is the solution to the inequality 2(y + 5)+ 7y ≤19 ?

A. y <1 B. y ≤1 C. y >1 D. y ≥1

10. What are the solutions of 3d − 4 < −10 or 2d + 7 ≥ 9 ?

A. d > −2 B. d ≤1 C. −2 < d ≤1 D. d < −2 or d ≥1

11. What is the solution to the equation 2x +1 − 3= 6 ?

A. x = −1,2 B. x = −2,2 C. x = −2,4 D. x = −5,4

12. What is the slope of the line through the points (3, -2) and (5, 8)?

��� A. 15

B. 5 C. − 15

D. −5

13. Which ordered pairs represent a linear function?

A. (−2,−15),(−1,−9),(0,−3),(1,3),(2,9) B. (−2,4),(−1,1),(0,0),(1,1),(2,4)

C. (−2,−1),(−1,−4),(0,−5),(1,−4),(2,−1) D. (−2,−8),(−1,−1),(0,0),(1,1),(2,8)

14. Jill earns $45 per hour. Using p for her pay and h for the hours she works, what function rule represents the situation?

A. h = 45p B. p = 45h C. h = p + 45 D. p = h + 45

15. What is the slope of the line with the equation y = − 13x − 3?

A. -3 B. -1 C. − 13

D. 13

16. What is the equation of the line that has slope -4 and passes through the point (-2, -5)?

A. y = .5x − 4 B. y = −4x −13 C. y = −.5x − 4 D. y = −4x + 3

17. What is an equation of a line passing through the points (-4, 3) and (-1, 6)?

A. y = −x − 7 B. y = −x −1 C. y = 7x +1 D. y = x + 7

18. What are the x- and y- intercepts of the graph of −7x + 4y = −14 ?

A. x-intercept : -7, y-intercept: 4 B. x-intercept : 7, y-intercept: -4

C. x-intercept : -2, y-intercept: 3.5 D. x-intercept : 2, y-intercept: -3.5

19. Which equation has a graph that is parallel to the graph of 9x + 3y = −22 ?

A. y = 3x − 22 B. y = −3x + 8 C. y = 13x +12 D. y = − 1

3x − 2

20. What is 8x + 3y2

4y − 3x when x = 2 and y = 3?

A. -22 B. -8 C. 7.5 D. 436

21. How many solutions does the system have? 2x + y = 36x = 9 − 3y

��� A. one B. none C. infinite D. two

22. What is the solution to the following system of equations? 5x + 7y = 32x + 3y = 1

A. (-2, 1) B. (1, -2) C. (2, -1) D. (-1, 2)

23. Which is a solution of −8x + 5 ≥11?

A − 12

B. 3 C. .25 D. -1

24. The graphs of the two lines 4x = 3y + 23 and 4y + 3x = −19

A. do not intersect B. are identical C. intersect at (-2, 5) D. are perpendicular

25. Which of the following points are not solutions of 2y − 5x > 6 ?

I. (-3, 4) II. (5, − 53

) III. ( 34

, 5) IV. (2.6, 5)

A. I and II B. III only C. II and IV D. III and IV

26. What is the simplified form of 3𝑎!𝑏!!𝑐! ?

A. !"!!!!

!! B.

!"!!

!!!! C.

!!!

!!!! D.

!!!!!

!!

27. Which of the following simplifies to a negative number?

A.  −4!! B.  (−4)!! C. 4!! D. !!!!

28. What is the simplified form of – (14𝑥!)!𝑦!!𝑧 ?

A. − !"!!!

B. !"!!!

C. !!!

D. − !!!

29. Which of the following is written in scientific notation?

A.        73.4  𝑥  10! B.          0.09  𝑥  10! C. 80  𝑥  10! D. 4.22  𝑥  10!!

30. What is the simplified form of −3  𝑥!𝑦! 5𝑥𝑦!! ?

A. − !"!!

!! B. −15𝑥!𝑦! C. −15𝑥!𝑦 D. 15x4y

31. Which of the following is equivalent to !!!!

!!! ? (assume x≠ 0 and y ≠0)

A. 𝑥!𝑦! B. 𝑥!𝑦 C. 𝑥!𝑦 D.          𝑥!

32. A fraction reduces to 36. If its numerator is 6𝑥 !, what is its denominator?

A. 6!𝑥 B. 6!𝑥! C. 6𝑥! D.    6!𝑥!

33. What is the simplified form of 8𝑏!𝑐! + 4𝑏!𝑐!  ?

A. 12bc B. 12𝑏!𝑐! C. 12𝑏!𝑐! D.    12  𝑏!𝑐!

34. What is the difference between the following polynomials?

6𝑥! − 2𝑥! + 4 − (2𝑥!+ 4𝑥! − 5)

A. 4𝑥! − 2𝑥! − 1 B. 8𝑥! + 6𝑥! − 1 C. 4𝑥! − 2𝑥! + 1 D. 4𝑥! − 6𝑥! + 9

35. What is the simplified form of 3𝑥! − 4𝑥 + 6𝑥 + 5𝑥! + 2𝑥! − 3𝑥 in standard form?

A. 5𝑥! + 10𝑥! − 𝑥 B. 8𝑥! − 2𝑥! + 3𝑥 C. 5𝑥! + 10𝑥! − 5𝑥 D.    5𝑥! + 5𝑥! − 𝑥

36. How can this product, 5𝑥! 2𝑥 − 3 , be simplified?

A. 5𝑥! + 2𝑥 − 3         B. 10𝑥! − 15𝑥! C. −5𝑥! D.  7𝑥! − 15𝑥!

37. What is the GCF of the terms of 8𝑐! + 12𝑐! + 10𝑐  ?

A. 2 B. 4 C. 2c D. 4c

38. How can the polynomial 6𝑑! + 9𝑑! − 12𝑑! be factored?

A. 3𝑑! 2𝑑! + 3𝑑 − 4

B. 3𝑑! 3𝑑! + 6𝑑 − 9

C. 3𝑑 𝑑! + 3𝑑! − 4

D. 6𝑑! 𝑑! + 3𝑑! − 6

39. What is the simplified form of −3𝑧! 𝑧 + 2 − 4 𝑧! + 1    ?

A. −7𝑧! + 1

B. −3𝑧! − 4𝑧! − 6𝑧 − 4

C. −3𝑧! − 2𝑧! − 4

D. −3𝑧! − 10𝑧! − 4

40. Use the Distributive Property to determine the simplified form of 𝑥 − 2 2𝑥 + 3 .

A. 2𝑥! − 𝑥 − 6 B. 2𝑥! − 6 C.    2𝑥! − 7𝑥 − 6 D. 2𝑥! + 𝑥 − 6

41. What is the simplified form of 2𝑥! + 4𝑥 − 3 3𝑥 + 1  ?

A. 6𝑥! + 10𝑥! − 5𝑥 + 3

B. 6𝑥! + 14𝑥! + 5𝑥 − 3

C. 6𝑥! + 14𝑥! − 5𝑥 − 3

D. 6𝑥! − 10! − 5𝑥 − 3

42. What is the factored form of 𝑥! − 7𝑥 + 12 ?

A. 𝑥 − 5 𝑥 − 3 B. 𝑥 − 6 𝑥 − 1 C. 𝑥 − 2 𝑥 − 5 D. 𝑥 − 4 𝑥 − 3

43. What is the factored form of 𝑥! + 3𝑥 − 10 ?

A. 𝑥 + 5 𝑥 − 2

B. 𝑥 − 2 𝑥 − 5

C. 𝑥 − 5 𝑥 + 2

D. 𝑥 + 5 𝑥 + 2

44. What is the factored form of 4𝑥! + 12𝑥 + 5?

A. 2𝑥 + 4 2𝑥 + 3

B. 4𝑥 + 5 𝑥 + 1

C. 2𝑥 + 1 2𝑥 + 5

D. 4𝑥 + 1 𝑥 + 5

45. What is the factored form of 3𝑥! + 21𝑥 − 24?

A. 3 𝑥 + 8 𝑥 − 1

B. 3 𝑥 + 6 𝑥 + 1

C. 3 𝑥 + 5 𝑥 − 3

D. 3 𝑥 + 7 𝑥 − 3

46. What is the factored form of 𝑥! − 196?

A. 𝑥 − 14 ! B. 𝑥 + 14 ! C. 𝑥 − 28 4𝑥 + 7 D. 𝑥 + 14 𝑥 − 14

47. Use the Pythagorean Theorem to determine the length of the diagonal of a rectangular garden with dimensions 12 ft by 16 ft.

A. 6 ft B. 14 ft C. 18 ft D. 20 ft

48. What is the solution of 𝑛! − 49 = 0  ?

A. -7 B. 7 C. ±7 D. ∅

49. What is the simplified form of 140

A. 4 35 B. 10 14 C. 2 70 D.    2 35

50. What is the simplified form of 3 5𝑐 ∙ 15𝑐!  ?

A. 15𝑐! 3 B. 6𝑐! 5 C. 5𝑐! 3 D. 12𝑐! 5